If the set of all a ∈ ℝ, for which the equation 2x² + (a - 5)x +… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 29 January, Shift 2Nature of Roots & Formation of Equations

If the set of all $a \in \mathbb{R}$ , for which the equation $2x^2 + (a - 5)x + 15 = 3a$ has no real root, is the interval $(\alpha, \beta)$ , and $X = \{ x \in \mathbb{Z} : \alpha < x < \beta \}$ , then $\sum_{x \in X} x^2$ is equal to:

A
$2109$
B
$2129$
C
$2139$
D
$2119$

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